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International Journal of Mathematics and Mathematical Sciences
Volume 18, Issue 2, Pages 229-236
http://dx.doi.org/10.1155/S0161171295000287

On a general Hyers-Ulam stability result

Dipartimento di Matematica, Universita degli Studi di Milano, via C. Saldini, 50, Milano I-20133, Italy

Received 18 June 1993

Copyright © 1995 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

In this paper, we prove two general theorems about Hyers-Ulam stability of functional equations. As particular cases we obtain many of the results published in the last ten years on the stability of the Cauchy and quadratic equation.